Ranges

Ranges

We define data ranges in terms of percentiles. We have already encountered the full data range, which is simply the difference between the \(100^{\text{th}}\) and the \(0^{\text{th}}\) percentile (that is, between the maximum and minimum values in the data set).

Definition: Interquartile range

The interquartile range is a measure of dispersion, which is calculated by subtracting the first quartile (\(Q1\)) from the third quartile (\(Q3\)). This gives the range of the middle half of the data set.

Definition: Semi interquartile range

The semi interquartile range is half of the interquartile range.

This lesson is part of:

Statistics and Probability

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